Question

Question
Write the expanded form of 357.25(1 point)
Responses

(3×100)+(5×10)+(7×1)+(2×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 100 End Fraction right parenthesis

(3×100)+(5×10)+(7×1)+(2×110)+(5×11,000)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 1,000 End Fraction right parenthesis

(3×100)+(5×10)+(7×1)+(2×110)+(5×1100)
left parenthesis 3 times 100 right parenthesis plus left parenthesis 5 times 10 right parenthesis plus left parenthesis 7 times 1 right parenthesis plus left parenthesis 2 times Start Fraction 1 over 10 End Fraction right parenthesis plus left parenthesis 5 times Start Fraction 1 over 100 End Fraction right parenthesis

(3×100)+(5×10)+(7×1)+(5×110)+(2×1100)

Answer 1

The expanded form of the number 357.25 can be expressed by breaking it down into its place value components. Here's the breakdown:

- 3 is in the hundreds place: \(3 \times 100\)
- 5 is in the tens place: \(5 \times 10\)
- 7 is in the ones place: \(7 \times 1\)
- 2 is in the tenths place: \(2 \times \frac{1}{10}\) (or \(2 \times 0.1\))
- 5 is in the hundredths place: \(5 \times \frac{1}{100}\) (or \(5 \times 0.01\))

So the correct expanded form is:
\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]

However, since the choices you have provided seem to contain some formatting confusion, let's clarify:

1. The place value of 2 is indeed in the tenths place, not the hundreds. Therefore, it should be multiplied by \( \frac{1}{10} \), not \(110\), as implied in some choices.
2. The place value of 5, in the decimal part, corresponds to the hundredths place, which means it should be multiplied by \( \frac{1}{100} \).

From your options, none seem to perfectly represent the expanded form.

If we disregard some inconsistencies, and based on what's presented:

- **Correct expanded form**:
\[
(3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times \frac{1}{10}) + (5 \times \frac{1}{100}) \text{ or } (3 \times 100) + (5 \times 10) + (7 \times 1) + (2 \times 0.1) + (5 \times 0.01)
\]

Make sure that you are interpreting fractions and place values correctly when choosing answers.